Abstract
This work defines a computational model of the motion of ions from a liquid metal ion source in the interelectrode region. An Algol 68 program has been written which calculates the Laplace potential in an axially symmetric region by a variable mesh finite difference method, for arbitrary shaped boundaries, and the results have been compared with those of the finite element method. The effect of space charge can be important for these sources due to the large current densities near the emitter and a method for determining these effects by an iterative solution of Poisson's equation is described. Finally, the liquid motion on the needle is considered, which has been shown to be described, for a wide variety of different liquid metals and needle sizes, by the linear equations of slow viscous flow.
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